#### Solution for 156 is what percent of 312:

156:312*100 =

(156*100):312 =

15600:312 = 50

Now we have: 156 is what percent of 312 = 50

Question: 156 is what percent of 312?

Percentage solution with steps:

Step 1: We make the assumption that 312 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={312}.

Step 4: In the same vein, {x\%}={156}.

Step 5: This gives us a pair of simple equations:

{100\%}={312}(1).

{x\%}={156}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{312}{156}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{156}{312}

\Rightarrow{x} = {50\%}

Therefore, {156} is {50\%} of {312}.

#### Solution for 312 is what percent of 156:

312:156*100 =

(312*100):156 =

31200:156 = 200

Now we have: 312 is what percent of 156 = 200

Question: 312 is what percent of 156?

Percentage solution with steps:

Step 1: We make the assumption that 156 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={156}.

Step 4: In the same vein, {x\%}={312}.

Step 5: This gives us a pair of simple equations:

{100\%}={156}(1).

{x\%}={312}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{156}{312}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{312}{156}

\Rightarrow{x} = {200\%}

Therefore, {312} is {200\%} of {156}.

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